On general $(\alpha,\beta)$-metrics with isotropic Berwald curvature

TL;DR

This paper classifies a broad class of Finsler metrics called general $(oldsymbol{ extalpha,eta})$-metrics that have isotropic Berwald curvature, providing a deeper understanding of their geometric properties.

Contribution

It offers a classification of general $(oldsymbol{ extalpha,eta})$-metrics with isotropic Berwald curvature under specific conditions, advancing the theory of Finsler geometry.

Findings

Classification of general $(oldsymbol{ extalpha,eta})$-metrics with isotropic Berwald curvature

Identification of conditions for isotropic Berwald curvature in these metrics

Enhanced understanding of the geometric structure of Finsler metrics

Abstract

In this paper, we study a class of Finsler metrics called general $(\alpha,\beta)$-metrics, which are defined by a Riemannian metric $\alpha$ and a $1$-form $\beta$. We classify this class of Finsler metrics with isotropic Berwald curvature under certain condition.